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Finding the Fourth Proportional to 294,047,138.40, 440,432,978.40 and 243,028,802.40

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Solution

The fourth proportional to 294,047,138.40, 440,432,978.40 and 243,028,802.40 is: 364,016,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,047,138.40 : 440,432,978.40 = 243,028,802.40 : x
  2. Step 2: Convert to fraction form
    294,047,138.40/440,432,978.40 = 243,028,802.40/x
  3. Step 3: Cross multiply
    294,047,138.40x = 440,432,978.40 × 243,028,802.40
  4. Step 4: Simplify right side
    294,047,138.40x = 107,037,899,278,017,072
  5. Step 5: Solve for x
    x = 107,037,899,278,017,072/294,047,138.40
  6. Step 6: Final answer
    x = 364,016,122.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.